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Link Failure Detection in Multi-hop Control Networks

A Multi-hop Control Network (MCN) consists of a plant where the communication between sensors, actuators and computational unit is supported by a wireless multi-hop communication network, and data flow is performed using scheduling and routing of sensing and actuation data. We characterize the problem of detecting the failure of links of the radio connectivity graph and provide necessary and sufficient conditions on the plant dynamics and on the communication protocol. We also provide a methodology to \emph{explicitly} design the network topology, scheduling and routing of a communication protocol in order to satisfy the above conditions.